Question

Question
One hundred grams of radium are stored in a container. The amount R (in grams) of radium present after t years can be modeled by R=100e−0.00043t. After how many years will only 5 grams of radium be present? Round your answer to the nearest whole year.

It will take about ??
years for only 5 grams of radium to be present.

Answer 1

The number of years it would take for radium to be 5 grams is 6967 years.

After how many years will only 5 grams of radium be present?

The formula that is used to represent continuous compounding or continuous decay is:

FV = A x $e^{-t}$  x N

Where:

• A= amount
• e = 2.7182818
• N = number of years
• r = interest rate

5 = 100 x e^−0.00043 x t.

In order to determine the value of t, take the following steps:

Divide both sides by 100

5/100 = e^−0.00043 x t.

Then take the In of both sides

= 6967 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/25760893

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